Fractional vector calculus for fractional advection–dispersion

Mark M. Meerschaert, Jeff Mortensen and Stephen W. Wheatcraft

Physica A: Statistical Mechanics and its Applications, 2006, vol. 367, issue C, 181-190

Abstract: We develop the basic tools of fractional vector calculus including a fractional derivative version of the gradient, divergence, and curl, and a fractional divergence theorem and Stokes theorem. These basic tools are then applied to provide a physical explanation for the fractional advection–dispersion equation for flow in heterogeneous porous media.

Keywords: Functional derivatives; Advection–dispersion equation; Porous media flow; Transport (search for similar items in EconPapers)
Date: 2006
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Citations: View citations in EconPapers (12)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:367:y:2006:i:c:p:181-190

DOI: 10.1016/j.physa.2005.11.015

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